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Finding the Fourth Proportional to 14,091.20, 19,445.12 and 7,803.20

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Solution

The fourth proportional to 14,091.20, 19,445.12 and 7,803.20 is: 10,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.20 : 19,445.12 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    14,091.20/19,445.12 = 7,803.20/x
  3. Step 3: Cross multiply
    14,091.20x = 19,445.12 × 7,803.20
  4. Step 4: Simplify right side
    14,091.20x = 151,734,160.38
  5. Step 5: Solve for x
    x = 151,734,160.38/14,091.20
  6. Step 6: Final answer
    x = 10,768.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.